12268172181771 has 32 divisors (see below), whose sum is σ = 20993663635200. Its totient is φ = 6997887872640.

The previous prime is 12268172181731. The next prime is 12268172181779. The reversal of 12268172181771 is 17718127186221.

12268172181771 is a `hidden beast` number, since 1 + 226 + 8 + 172 + 181 + 7 + 71 = 666.

It is not a de Polignac number, because 12268172181771 - 2¹⁴ = 12268172165387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12268172181779) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214906041 + ... + 1214916138.

It is an arithmetic number, because the mean of its divisors is an integer number (656051988600).

Almost surely, 2^{12268172181771} is an apocalyptic number.

12268172181771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12268172181771 is a deficient number, since it is larger than the sum of its proper divisors (8725491453429).

12268172181771 is a wasteful number, since it uses less digits than its factorization.

12268172181771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429822216 (or 2429822210 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 54.

The spelling of 12268172181771 in words is "twelve trillion, two hundred sixty-eight billion, one hundred seventy-two million, one hundred eighty-one thousand, seven hundred seventy-one".